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African journal of mathematics and statistics studies最新文献

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On the Commutativity Degree of Finite Groups of Order via Degree Equation 通过度方程论有序有限群的交换度
African journal of mathematics and statistics studies Pub Date : 2024-01-30 DOI: 10.52589/ajmss-yszuqy1a
Jelten B. N., Enoch S., Hassan S. B., Adamu D.
{"title":"On the Commutativity Degree of Finite Groups of Order via Degree Equation","authors":"Jelten B. N., Enoch S., Hassan S. B., Adamu D.","doi":"10.52589/ajmss-yszuqy1a","DOIUrl":"https://doi.org/10.52589/ajmss-yszuqy1a","url":null,"abstract":"Commutativity degree is a numerical derivation that carries a lot of information about the structure of finite groups. It measures the extent to which two randomly selected non-identity elements of a group commute. The upper bound for the order of the centre of a finite group were obtained by Cody (2010), while Anna (2010) determined same in terms of degree of commutativity; Jelten et al. (2021) worked on commutativity degree p(G) of finite groups via the class equations. In the present paper, we use the derived group of a group as input and the degree equation as a tool to derive a scheme for the commutativity degree of groups of order which are essentially groups of order with , where is an even prime, , an odd prime such that ; and . With this, we have that p(G) = (|G/| + 3) /|G| as one of our results and discovered that 24 groups satisfy the restrictions given as outlined in our discussion in this paper.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"389 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140483008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Symmetry and Asymmetry Multivariate Garch Modeling of Consumer Prices Index, Crude Oil Price, Inflation Rate and Exchange Rate 消费者物价指数、原油价格、通货膨胀率和汇率的对称与不对称多元Garch模型
African journal of mathematics and statistics studies Pub Date : 2023-10-14 DOI: 10.52589/ajmss-6iylhm4z
Wiri L., Archibong M.E.
{"title":"Symmetry and Asymmetry Multivariate Garch Modeling of Consumer Prices Index, Crude Oil Price, Inflation Rate and Exchange Rate","authors":"Wiri L., Archibong M.E.","doi":"10.52589/ajmss-6iylhm4z","DOIUrl":"https://doi.org/10.52589/ajmss-6iylhm4z","url":null,"abstract":"The study looked at changes in Nigeria's exchange rate, inflation rate, consumer price index, and price of crude oil. Monthly data from January 2004 to December 2020 were utilized in this analysis, and they were taken from the statistical bulletin of the Central Bank of Nigeria (CBN). The data's time graphic showed the trend series' present state. For the analysis, E-view 12 statistical software was employed. Modeling employed both symmetric and asymmetric processes. Using both symmetric and asymmetric modeling techniques, the Multivariate Generalized Autoregressive Conditional Heteroscedasticity (M-GARCH) model was developed. To estimate three models for multivariate GARCH, a constant conditional correlation, a diagonal VECH, and a diagonal BEKK. The conditional variance and conditional covariance were estimated using these models. Every variance and covariance model had a significance level of 5%.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135767290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Well-Conditioned and Ill Conditioned Linear First Order Initial Value Problems in Ordinary Differential Equation 常微分方程的良条件和病态线性一阶初值问题
African journal of mathematics and statistics studies Pub Date : 2023-10-10 DOI: 10.52589/ajmss-lxsul0oo
O. E. Ntekim, A. J. Ugboh, J. N. Ezeorah, U. P. Akra
{"title":"Well-Conditioned and Ill Conditioned Linear First Order Initial Value Problems in Ordinary Differential Equation","authors":"O. E. Ntekim, A. J. Ugboh, J. N. Ezeorah, U. P. Akra","doi":"10.52589/ajmss-lxsul0oo","DOIUrl":"https://doi.org/10.52589/ajmss-lxsul0oo","url":null,"abstract":"We construct a linear first order ordinary differential equation with the parameter λ. We show that our constructed equation is well conditioned for λ< 0 and ill conditioned forλ > 0. We also state and prove some related theorems.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136294419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A New Logistic Generalization Arising from Distributions of Order Statistics: Properties and Applications 由序统计量分布引起的一种新的逻辑推广:性质与应用
African journal of mathematics and statistics studies Pub Date : 2023-09-28 DOI: 10.52589/ajmss-kavmik6p
Echebiri U.V., Anyadiegwu C.U., Osawe N.L., Abubakar H.A., Adewole C.J.
{"title":"A New Logistic Generalization Arising from Distributions of Order Statistics: Properties and Applications","authors":"Echebiri U.V., Anyadiegwu C.U., Osawe N.L., Abubakar H.A., Adewole C.J.","doi":"10.52589/ajmss-kavmik6p","DOIUrl":"https://doi.org/10.52589/ajmss-kavmik6p","url":null,"abstract":"Distributions with the variable support x∈R that exhibit strict symmetricity are versed in literature; and serve as model-fit for various forms of bell shaped outcomes; where normal and logistic distributions are renowned examples. This strictness, however, limits the application of these probability models to a particular kind of data; hence, its minimal utility. In this paper, therefore, a new generalization for the logistic distribution termed the Jones generalized logistic distribution is proposed. This new distribution is conditionally symmetric; which entails that the distribution attains symmetricity, only at equal parameter combinations. By implication, the proposed distribution serves the dual purpose of modeling both symmetric and asymmetric outcomes. Some properties of the proposed model have been derived. Finally, JGLD were fit to two different lifetime data as a demonstration to its relevance.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135385523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comparative Study of the Gompertz and Logistic Growth Models on the Prevalence and Fatality of Covid-19 Pandemic in Nigeria 尼日利亚新冠肺炎流行和病死率的Gompertz和Logistic增长模型比较研究
African journal of mathematics and statistics studies Pub Date : 2023-09-22 DOI: 10.52589/ajmss-x36zcmbh
Nnamdi E., Amaeze O.G.
{"title":"Comparative Study of the Gompertz and Logistic Growth Models on the Prevalence and Fatality of Covid-19 Pandemic in Nigeria","authors":"Nnamdi E., Amaeze O.G.","doi":"10.52589/ajmss-x36zcmbh","DOIUrl":"https://doi.org/10.52589/ajmss-x36zcmbh","url":null,"abstract":"This study models the prevalence and fatality of the Covid-19 pandemic in Nigeria from February 2020 to July 2022. It is a comparative study of two prominent models: The Gompertz and Logistic population growth models. The data for this study was obtained from the website of Our World in Data, OWID (https//www.ourworldindata.org). The Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) were employed to compare the performance of the models, and the number of iterations before convergence and convergence tolerance for each model was also put into consideration. The study revealed that the Gompertz population growth model provides a better fit compared to the logistic growth in modelling the cumulative covid-19 cases and cumulative covid-19-related deaths in Nigeria. From the models, we obtained important features of the pandemic, such as the growth rate and asymptotes.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Evaluation of Some Algebraic Structures in Balanced Incomplete Block Design 平衡不完全块体设计中若干代数结构的评价
African journal of mathematics and statistics studies Pub Date : 2023-09-22 DOI: 10.52589/ajmss-tqisir8c
U. P. Akra, O. E. Ntekim, R. S. Ndah, A. C. Etim
{"title":"Evaluation of Some Algebraic Structures in Balanced Incomplete Block Design","authors":"U. P. Akra, O. E. Ntekim, R. S. Ndah, A. C. Etim","doi":"10.52589/ajmss-tqisir8c","DOIUrl":"https://doi.org/10.52589/ajmss-tqisir8c","url":null,"abstract":"Balanced incomplete block design is an incomplete block design in which any two varieties appear together an equal number of times. In algebra, the existence of block design is closely related to balanced incomplete block design. To ascertain the claim, this research aim to employ some algebraic structures to examine whether or not balanced incomplete block design is related to the above statement. The methods adopted are finite group, ring and field algebra. The result shows that balanced incomplete block design (BIBD) cannot form a finite group under multiplication binary operation, but it is for additive case. It is also revealed that balanced incomplete block design is not a field algebra in both binary operations no matter the size of the design, but it is a ring in all cases. In conclusion, BIBD of the form (X,B) is a semigroup, commutative group, semiring, commutative ring and subfield in both binary operations. Several theorems with proofs have been established in harmony with the algebraic structure mentioned above.","PeriodicalId":484502,"journal":{"name":"African journal of mathematics and statistics studies","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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